252958844160 has 864 divisors, whose sum is σ = 994717342080. Its totient is φ = 60825600000.

The previous prime is 252958844143. The next prime is 252958844167. The reversal of 252958844160 is 61448859252.

252958844160 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 588 + 44 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×252958844160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 252958844097 and 252958844106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252958844167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1007804035 + ... + 1007804285.

It is an arithmetic number, because the mean of its divisors is an integer number (1151293220).

Almost surely, 2^252958844160 is an apocalyptic number.

252958844160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252958844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497358671040).

252958844160 is an abundant number, since it is smaller than the sum of its proper divisors (741758497920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252958844160 is a wasteful number, since it uses less digits than its factorization.

252958844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 252958844160 in words is "two hundred fifty-two billion, nine hundred fifty-eight million, eight hundred forty-four thousand, one hundred sixty".